311504354040000 has 280 divisors, whose sum is σ = 1123533908912448. Its totient is φ = 75516206720000.

The previous prime is 311504354039993. The next prime is 311504354040013. The reversal of 311504354040000 is 40453405113.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 311504354040000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 116674074 + ... + 119314073.

Almost surely, 2^{311504354040000} is an apocalyptic number.

311504354040000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311504354040000 is an abundant number, since it is smaller than the sum of its proper divisors (812029554872448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311504354040000 is a wasteful number, since it uses less digits than its factorization.

311504354040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235988193 (or 235988168 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 311504354040000 in words is "three hundred eleven trillion, five hundred four billion, three hundred fifty-four million, forty thousand".